(Sum_{t=0..oo} ((-1)^t*(2*t+1)*q^((2*t+1)^2)))^3 * (Sum_{t=0..oo} q^((2*t+1)^2)) = Sum_{k=0..oo} a(k)*q^(8*k+4).

A322031

(Sum_{t=0..oo} ((-1)^t*(2*t+1)*q^((2*t+1)^2)))^3 * (Sum_{t=0..oo} q^((2*t+1)^2)) = Sum_{k=0..oo} a(k)*q^(8*k+4).

Terms

    a(0) =1a(1) =-8a(2) =18a(3) =16a(4) =-111a(5) =72a(6) =178a(7) =-144a(8) =-126a(9) =-232a(10) =384a(11) =432a(12) =-301a(13) =240a(14) =-1422a(15) =-192a(16) =1728a(17) =288a(18) =530a(19) =-1424a(20) =162a(21) =-888a(22) =-1998a(23) =2016a(24) =1633a(25) =1008a(26) =594a(27) =1296a(28) =-5568a(29) =-1368

External references